Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays

Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is discussed with help of fixed point theory. The nonlinear system is considered with a constant time delay and impulsive effects. Then, novel sufficient con...

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Autores principales: Mathiyalagan, K., Ma, Yong-Ki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Research Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9676915/
http://dx.doi.org/10.1007/s40995-022-01375-6
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author Mathiyalagan, K.
Ma, Yong-Ki
author_facet Mathiyalagan, K.
Ma, Yong-Ki
author_sort Mathiyalagan, K.
collection PubMed
description Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is discussed with help of fixed point theory. The nonlinear system is considered with a constant time delay and impulsive effects. Then, novel sufficient conditions to prove the Mittag–Leffler stability (MLS) of FOS are established by using well known mathematical techniques. Also, the results are extended to present finite-time MLS conditions for considered nonlinear FOSs. Finally, examples are given to show the validity of the derived results.
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spelling pubmed-96769152022-11-21 Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays Mathiyalagan, K. Ma, Yong-Ki Iran J Sci Research Paper Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is discussed with help of fixed point theory. The nonlinear system is considered with a constant time delay and impulsive effects. Then, novel sufficient conditions to prove the Mittag–Leffler stability (MLS) of FOS are established by using well known mathematical techniques. Also, the results are extended to present finite-time MLS conditions for considered nonlinear FOSs. Finally, examples are given to show the validity of the derived results. Springer International Publishing 2022-11-19 2023 /pmc/articles/PMC9676915/ http://dx.doi.org/10.1007/s40995-022-01375-6 Text en © The Author(s), under exclusive licence to Shiraz University 2022, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Research Paper
Mathiyalagan, K.
Ma, Yong-Ki
Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title_full Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title_fullStr Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title_full_unstemmed Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title_short Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
title_sort mittag–leffler stability of impulsive nonlinear fractional-order systems with time delays
topic Research Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9676915/
http://dx.doi.org/10.1007/s40995-022-01375-6
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